MinT - Information on Result #1205209

Information on Result #1205209

Digital (168, 184, 4194300)-net over F₄, using trace code for nets based on digital (76, 92, 2097150)-net over F₁₆, using

net defined by OOA [i] based on linear OOA(16⁹², 2097150, F₁₆, 18, 16) (dual of [(2097150, 18), 37748608, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(16⁹², 8388601, F₁₆, 2, 16) (dual of [(8388601, 2), 16777110, 17]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16⁹², 8388602, F₁₆, 2, 16) (dual of [(8388602, 2), 16777112, 17]-NRT-code), using
    - trace code [i] based on linear OOA(256⁴⁶, 4194301, F₂₅₆, 2, 16) (dual of [(4194301, 2), 8388556, 17]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(256⁴⁶, 8388602, F₂₅₆, 16) (dual of [8388602, 8388556, 17]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁴⁶, large, F₂₅₆, 16) (dual of [large, large−46, 17]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Digital (169, 185, 4194300)-net over F₄	[i]	Net Duplication
2	Digital (170, 186, 4194300)-net over F₄	[i]
3	Digital (171, 187, 4194300)-net over F₄	[i]
4	Digital (172, 188, 4194300)-net over F₄	[i]
5	Digital (173, 189, 4194300)-net over F₄	[i]
6	Digital (174, 190, 4194300)-net over F₄	[i]
7	Digital (175, 191, 4194300)-net over F₄	[i]
8	Digital (176, 192, 4194305)-net over F₄	[i]	(u,Â u+v)-Construction for Nets
9	Digital (177, 193, 4194309)-net over F₄	[i]
10	Digital (178, 194, 4194310)-net over F₄	[i]
11	Digital (179, 195, 4194314)-net over F₄	[i]
12	Digital (180, 196, 4194317)-net over F₄	[i]
13	Digital (182, 198, 4194318)-net over F₄	[i]
14	Digital (183, 199, 4194321)-net over F₄	[i]
15	Digital (184, 200, 4194334)-net over F₄	[i]
16	Digital (186, 202, 4194348)-net over F₄	[i]
17	Digital (188, 204, 4194366)-net over F₄	[i]
18	Digital (190, 206, 4194376)-net over F₄	[i]
19	Digital (192, 208, 4194495)-net over F₄	[i]
20	Digital (195, 211, 4194540)-net over F₄	[i]
21	Digital (197, 213, 4194557)-net over F₄	[i]
22	Digital (198, 214, 4194814)-net over F₄	[i]
23	Digital (200, 216, 4195328)-net over F₄	[i]
24	Digital (204, 220, 4195333)-net over F₄	[i]
25	Digital (205, 221, 4195338)-net over F₄	[i]
26	Digital (206, 222, 4195349)-net over F₄	[i]
27	Digital (207, 223, 4195371)-net over F₄	[i]
28	Digital (208, 224, 4195413)-net over F₄	[i]
29	Digital (209, 225, 4195665)-net over F₄	[i]
30	Digital (210, 226, 4198396)-net over F₄	[i]
31	Digital (211, 227, 4198398)-net over F₄	[i]
32	Digital (212, 228, 4198400)-net over F₄	[i]
33	Digital (214, 230, 4198401)-net over F₄	[i]
34	Digital (215, 231, 4198406)-net over F₄	[i]
35	Digital (216, 232, 4210684)-net over F₄	[i]
36	Digital (217, 233, 4210686)-net over F₄	[i]
37	Digital (218, 234, 4210688)-net over F₄	[i]
38	Digital (220, 236, 4210689)-net over F₄	[i]
39	Digital (221, 237, 4210694)-net over F₄	[i]
40	Digital (222, 238, 4259836)-net over F₄	[i]
41	Digital (223, 239, 4259838)-net over F₄	[i]
42	Digital (224, 240, 4259841)-net over F₄	[i]
43	Digital (227, 243, 4259846)-net over F₄	[i]
44	Digital (228, 244, 4456444)-net over F₄	[i]
45	Digital (229, 245, 4456446)-net over F₄	[i]
46	Digital (230, 246, 4456449)-net over F₄	[i]
47	Digital (232, 248, 4456450)-net over F₄	[i]
48	Digital (233, 249, 4456454)-net over F₄	[i]
49	Digital (234, 250, 5242876)-net over F₄	[i]
50	Digital (235, 251, 5242879)-net over F₄	[i]
51	Digital (236, 252, 5242882)-net over F₄	[i]
52	Digital (239, 255, 5242886)-net over F₄	[i]
53	Digital (240, 256, 6291450)-net over F₄	[i]
54	Digital (244, 260, 6291455)-net over F₄	[i]
55	(196, 212, 4194558)-net in base 4	[i]